This course is about mathematical analysis of continuum models of various natural phenomena. Such models are generally...
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This course is about mathematical analysis of continuum models of various natural phenomena. Such models are generally described by partial differential equations (PDE) and for this reason much of the course is devoted to the analysis of PDE. Examples of applications come from physics, chemistry, biology, complex systems: traffic flows, shock waves, hydraulic jumps, bio-fluid flows, chemical reactions, diffusion, heat transfer, population dynamics, and pattern formation.

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Select this link to open drop down to add material 18.311 Principles of Applied Mathematics to your Bookmark Collection or Course ePortfolio

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This is a graduate-level course in combinatorial theory.Ã‚Â The content varies year to year, according to the interests of...
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This is a graduate-level course in combinatorial theory.Ã‚Â The content varies year to year, according to the interests of the instructor and the students.Ã‚Â The topic of this course is hyperplane arrangements, including background material from the theory of posets and matroids.

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This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with emphasis on...
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This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with emphasis on partition identities, young tableaux bijections, spanning trees in graphs, and random generation of combinatorial objects. There is some discussion of various applications and connections to other fields.

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Select this link to open drop down to add material 18.315 Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics to your Bookmark Collection or Course ePortfolio

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This course offers an introduction to discrete and computational geometry. Emphasis is placed on teaching methods in...
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This course offers an introduction to discrete and computational geometry. Emphasis is placed on teaching methods in combinatorial geometry. Many results presented are recent, and include open (as yet unsolved) problems.

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Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered...
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Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

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This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of...
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This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods.

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